When you multiply a fraction by a whole number, you are finding ___ groups of that fraction.

Multiple

True or False: To multiply two fractions, you need to find a common denominator.

False. You can multiply straight across.

If a recipe calls for 3/4 cup of sugar and you want to make 2 batches, how much sugar do you need?

You need 3/4 × 2 = 6/4 or 1 1/2 cups of sugar.

Fill in the blank: Multiplying a fraction by another fraction means finding a part of a ___.

Part

How do you convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and write the sum over the original denominator.

When multiplying the fractions 2/5 and 3/4, what is the product?

The product is 6/20, which simplifies to 3/10.

True or False: The identity property states that any fraction multiplied by 0 is equal to the original fraction.

False. It states that any fraction multiplied by 1 is equal to the original fraction.

What happens to the size of a product when you multiply a number by a fraction less than 1?

The product is smaller than the original number.

Fill in the blank: When multiplying fractions, you multiply the numerators together and the ___ together.

Denominators

If you have 1/2 of a piece of cake and you take 1/3 of that, what fraction of the whole cake do you have?

You have 1/2 × 1/3 = 1/6 of the whole cake.

What is the first step in multiplying mixed numbers?

Convert them to improper fractions.

If you multiply 3/4 by 2/3, what is the simplified product?

The product is 1/2.

Fill in the blank: The commutative property of multiplication allows you to change the ___ of the factors.

Order

What should you do if the numerator and denominator share a common factor before multiplying fractions?

You can simplify or cancel the common factor to make the multiplication easier.

True or False: An improper fraction is defined as a fraction where the numerator is smaller than the denominator.

False. An improper fraction has a numerator larger than or equal to the denominator.

If 4/5 is multiplied by 5/8, what is the simplified answer?

The answer is 1/2.

How would you find 3/4 of 2/5?

Multiply the fractions: 3/4 × 2/5 = 6/20, which simplifies to 3/10.

What is the area of a rectangle with dimensions 4 1/2 feet by 2 2/3 feet?

The area is 12 square feet after converting to improper fractions and multiplying.

If a recipe calls for 2/3 cup of milk and you want to make 1/2 of the recipe, how much milk do you need?

You need 1/2 × 2/3 = 1/3 cup of milk.

Fill in the blank: When multiplying fractions, if one of the fractions is 0, the product will always be ___.

0

What is the product of 1/2 and 1/3?

The product is 1/6.

True or False: To multiply fractions, it is necessary to convert all whole numbers into fractions.

True. Whole numbers must be written as fractions with a denominator of 1.

If you multiply 6/7 by 14/15, what is the simplified product?

The product is 4/5.

What is the result of multiplying 2 1/2 by 3?

The result is 7 1/2.

When you multiply fractions, what is the significance of the zero property?

The zero property states that any fraction multiplied by 0 results in 0.